In order to further explore the concept of effective temperature [1]}, [2]}, [3]}, [4]} of the medium.
Assuming an effective equilibirum, a relation between
an effective temperature (calculated from the speed distribution) and
effective diffusivity calculated from \(MSD\)  of active particles can be written as;
\(T_{a,eff}(\Delta ) = D_{a,eff} /k_B\) ,
where \(k_B\)  is a constant factor used as the fitting parameters.
